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Finding the Fourth Proportional to 91,706.40, 137,485.44 and 32,509.80

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Solution

The fourth proportional to 91,706.40, 137,485.44 and 32,509.80 is: 48,738.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,706.40 : 137,485.44 = 32,509.80 : x
  2. Step 2: Convert to fraction form
    91,706.40/137,485.44 = 32,509.80/x
  3. Step 3: Cross multiply
    91,706.40x = 137,485.44 × 32,509.80
  4. Step 4: Simplify right side
    91,706.40x = 4,469,624,157.31
  5. Step 5: Solve for x
    x = 4,469,624,157.31/91,706.40
  6. Step 6: Final answer
    x = 48,738.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.